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Q4. Suppose a random sample of 120 observations from a binomial population gives a value of 13 = 0.83 and you Wish to test the

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Q4. Suppose a random sample of 120 observations from a binomial population gives a value of 13 = 0.83 and you Wish to test the null hypothesis that the population parameter p is equal to 0.75 against the alternative hypothesis that p is greater than 0.75. (a) Noting that f) : 0.83, what does your intuition tell you? Does the value of 13 appear to contradict the null hypothesis? (b) Use the largesample ztest to test H0 : p = 0.75 against the alternative hypoth- esis H A : p > 0.75. Use or : 0.05. How do the test results compare with your intuitive decision from part (a)? (c) Find and interpret the observed signicance level of the test you conducted in part (b)

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